Now it's your turn... Be sure to justify each step: use a separate line and cite for each limit law used like the example above. (use a separate piece of paper) Find, if it exists, lim 5x3+4 x-2 X-3
Now it's your turn... Be sure to justify each step: use a separate line and cite for each limit law used like the example above. (use a separate piece of paper) Find, if it exists, lim 5x3+4 x-2 X-3
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![lim (x² − 1)¹/³ =(lim(x² − 1))¹/³
x→3
x→3
(lim(x² − 1))¹/³ =(lim(x² + (−1))¹/³
x→3
x→3
(lim(x² + (−1))¹/³=( lim(x²) + lim(−1))¹/³
((lim(x))² +lim(−1))¹/³ = ((3)² + (−1))¹/³
x→3
By Theorem 2.3 1 v. (Powers and Roots Law)
((3)² + (-1))¹/3= (8)1/3-2
Algebra
( lim(x²) + lim(−1))¹/³ = ( (lim(x))² +lim(-1))¹/³ By 2.3 Theorem 1 v. (Powers and Roots Law)
x→3
By 2.3 Theorem 1 i. (Sum law)
By 2.2 Theorem 1
Simplification](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F321870cf-5f02-4a7a-9bd1-b1bcd10d94da%2F09a157ac-172a-4ccd-ad9d-6e75f0d7b0c9%2Ftc6xezu_processed.png&w=3840&q=75)
Transcribed Image Text:lim (x² − 1)¹/³ =(lim(x² − 1))¹/³
x→3
x→3
(lim(x² − 1))¹/³ =(lim(x² + (−1))¹/³
x→3
x→3
(lim(x² + (−1))¹/³=( lim(x²) + lim(−1))¹/³
((lim(x))² +lim(−1))¹/³ = ((3)² + (−1))¹/³
x→3
By Theorem 2.3 1 v. (Powers and Roots Law)
((3)² + (-1))¹/3= (8)1/3-2
Algebra
( lim(x²) + lim(−1))¹/³ = ( (lim(x))² +lim(-1))¹/³ By 2.3 Theorem 1 v. (Powers and Roots Law)
x→3
By 2.3 Theorem 1 i. (Sum law)
By 2.2 Theorem 1
Simplification
![Now it's your turn... Be sure to justify each step: use a separate line and cite for each limit law
used like the example above. (use a separate piece of paper)
Find, if it exists, lim
5x3+4
X-2 X-3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F321870cf-5f02-4a7a-9bd1-b1bcd10d94da%2F09a157ac-172a-4ccd-ad9d-6e75f0d7b0c9%2Fytdkxv_processed.png&w=3840&q=75)
Transcribed Image Text:Now it's your turn... Be sure to justify each step: use a separate line and cite for each limit law
used like the example above. (use a separate piece of paper)
Find, if it exists, lim
5x3+4
X-2 X-3
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